ABSTRACT
Optimality conditions and duality results for nonlinear multiobjective optimization have been the subject of much interest in the recent past. Ewing [77] introduced semilocally convex functions and applied it to derive sufficient optimality condition for variational and control problems. Elster and Nehse [75] considered a class of convex-like functions and obtained a saddle point optimality condition for mathematical programs involving such functions. Mishra and Mukherjee [195] extended this class of functions to the case of nonsmooth problems and obtained sufficiency and duality results for several problems. Some generalizations of semilocally convex functions and their properties were investigated in Kaul and Kaur [136].
